Interference Calculus A General Framework for Interference Managemen
This book develops a mathematical framework for modeling and optimizing interference-coupled multiuser systems. At the core of this framework is the concept of general interference functions, which provides a simple means of characterizing interdependenci
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Martin Schubert ยท Holger Boche
Interference Calculus A General Framework for Interference Management and Network Utility Optimization
ABC
Series Editors: Holger Boche TU Munich Institute of Theoretical Information Technology Arcisstrasse 21 80290 Munich, Germany
Wolfgang Utschick TU Munich Associate Institute for Signal Processing Arcisstrasse 21 80290 Munich, Germany Rudolf Mathar RWTH Aachen University Institute of Theoretical Information Technology 52056 Aachen, Germany Authors: Martin Schubert Heinrich Hertz Institute for Telecommunications HHI Einsteinufer 37 10587 Berlin Germany E-mail: [email protected]
Holger Boche TU Munich Institute of Theoretical Information Technology Arcisstrasse 21 80290 Munich, Germany E-mail: [email protected]
ISSN 1863-8538
e-ISSN 1863-8546
ISBN 978-3-642-24620-3
e-ISBN 978-3-642-24621-0
DOI 10.1007/978-3-642-24621-0 Springer Dordrecht Heidelberg London New York Library of Congress Control Number: 2011941485 c Springer-Verlag Berlin Heidelberg 2012 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Typesetting: Scientific Publishing Services Pvt. Ltd., Chennai, India. Cover design: eStudio Calamar S.L. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
In memory of my grandmother Maria Amende (1908-1996) Holger Boche
In memory of my father Roland Schubert (1939 -1997) and my grandmother So e Schubert (1911-2003) Martin Schubert
Preface
This book develops a mathematical framework for modeling and optimizing interference-coupled multiuser systems. At the core of this framework is the concept of
general interference functions,
which provides a simple means of
characterizing interdependencies between users. The entire analysis builds on the two core axioms
scale-invariance
and
monotonicity, which are introduced
in Section 1.2. Axiomatic approaches are frequently used in science. An example is cooperative game-theory, where interactions between users (or agents, players) are modeled on the basis of axioms (axiomatic bargaining). The proposed framework does indeed have a conceptual similarity with certain game-theoretic approaches. However, game theory originates from economics or social science, while the proposed int
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